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Finding the Fourth Proportional to 21,962.28, 32,950.80 and 6,971.88

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Solution

The fourth proportional to 21,962.28, 32,950.80 and 6,971.88 is: 10,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.28 : 32,950.80 = 6,971.88 : x
  2. Step 2: Convert to fraction form
    21,962.28/32,950.80 = 6,971.88/x
  3. Step 3: Cross multiply
    21,962.28x = 32,950.80 × 6,971.88
  4. Step 4: Simplify right side
    21,962.28x = 229,729,023.50
  5. Step 5: Solve for x
    x = 229,729,023.50/21,962.28
  6. Step 6: Final answer
    x = 10,460.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.